Question

Solve the equation 1 1/4 = x − 5/8 using inverse operations. (1 point)

Answer 1

To solve the equation, we want to isolate the variable x, which means we need to get rid of any constants next to it.

First, let's add 5/8 to both sides of the equation to get rid of the -5/8 on the right side:

1 1/4 + 5/8 = x

To add the fractions on the left side, we need to find a common denominator. The least common multiple of 4 and 8 is 8. So, we can rewrite 1 1/4 as an improper fraction:

1 1/4 = (4/4)(1) + 1/4 = 4/4 + 1/4 = 5/4

Now, the equation becomes:

5/4 + 5/8 = x

To add the fractions, we need a common denominator, which is 8. So, we can rewrite 5/4 as:

5/4 = (2/2)(5/4) = 10/8

The equation now becomes:

10/8 + 5/8 = x

Adding the fractions gives us:

15/8 = x

So, the solution to the equation is x = 15/8.